1. Today’s Lesson: What: Two-step equations Why:
To solve both multiplication and division two-step equations.

2. What are Two-Step Equations??
Two-step equations are equations that have ________________________ operations . In other words, there are TWO numbers on the same side with “x.”
two
To Solve a Two-Step Equation:
Step One: Add or subtract (zero pairs) to get rid of the __________________ .
Step Two: Multiply or divide to get rid of
the ___________________ (or #
closest to “x”) .
constant
coefficient

3. Multiplication Two-Step Equations:
Example: 3x = 26
+(-2) +(-2) (add “-2” to both sides to make zero pair)
3x = (re-write equation)
(divide by 3 on both sides)
x = 8

4. Multiplication Guided examples:

5. Your turn:
5) x = 20
6) = 12 – x
x = 5
x = 10

6. Division two-step equations:
Example: 𝑥 − = 13
+(-3) +(- 3) (add “-3” to both sides to make zero pair)
𝑥 −2 = (re-write equation)
(-2) 𝑥 −2 = 10(-2) (multiply by -2 on both sides)
x = -20

7. 1) 𝑥 2 + -7 = 11 2) 𝑥 −3 - 6 = 2 3) -4 = 18 + 𝑥 4 4) -20 + 𝑥 −6 = 5
Division Guided examples: 1)
𝑥 = 11 2)
𝑥 − = 2 3)
-4 = 𝑥 4 4)
𝑥 −6 = 5
x = 36
x = -24
x = -88
x = -150

8. Your turn: 5)
21 = 𝑥 6)
3 + 𝑥 −5 = -7
x = 75
x = 50

9. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

10. 4.4 Math-7 NOTES What are Two-Step Equations??
DATE: ______/_______/_______
What: Two-step equations
Why: To solve both multiplication and division two-step equations.
NAME:
4.4
What are Two-Step Equations??
Two-step equations are equations that have _____________________ operations . In other words, there are TWO numbers on the same side with “x.”
To Solve a Two-Step Equation:
Step One: Add or Subtract (zero pairs) to get rid of the ______________________.
Step Two: Multiply or divide to get rid of the _______________________.
Example: x = 26
+(-2) +( -2) (add “-2” to both sides to make zero pair)
3x = (re-write equation)
(divide by 3 on both sides)
x = 8
Multiplication Guided examples:
1) x = 13
2) x – 4 = 31
3) = x
-20 – x = 5
Your turn:
5) x = 20
6) = 12 – x

11. Division two-step equations:
Example: _x_ + 3 = 13 -2
+(-3) +(- 3) (add “-3” to both sides to make zero pair)
_x_ = (re-write equation)
(-2) _x_ = 10(-2) (multiply by -2 on both sides)
x = -20
Division Guided examples:
1) 𝑥 = 11
2) 𝑥 − = 2
3) = 𝑥 4
4) 𝑥 −6 = 5
Your turn:
5) = 𝑥
6) 𝑥 −5 = -7

12. 4.4 Math-7 PRACTICE “ two-step Equations”
NAME:_______________________________________________________________________________DATE: _____/_____/__________
“ two-step Equations”
4.4